Home / 1,914.16-2,871.40-1,094

Finding the Fourth Proportional to 1,914.16, 2,871.40 and 1,094

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Solution

The fourth proportional to 1,914.16, 2,871.40 and 1,094 is: 1,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.16 : 2,871.40 = 1,094 : x
  2. Step 2: Convert to fraction form
    1,914.16/2,871.40 = 1,094/x
  3. Step 3: Cross multiply
    1,914.16x = 2,871.40 × 1,094
  4. Step 4: Simplify right side
    1,914.16x = 3,141,311.60
  5. Step 5: Solve for x
    x = 3,141,311.60/1,914.16
  6. Step 6: Final answer
    x = 1,641.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.